Discontinuous regulator for a class of linear time delayed systems

This paper applies the decomposition block control technique to design a discontinuous regulator that guarantees asymptotic reference tracking for a class of linear delayed systems with disturbances. This class of systems is those presented in so-called Block Controllable Form with Delay. The block control technique is used to derive a sliding manifold on which the motion of the closed-loop system is stable, and the tracking error is zeroed. Example of the application of the proposed control strategy design is illustrated.